ΔABC is right-angled at B and D is a point on AC such that BD is perpendicular to AC. If BD = 6 cm and AD = 3 cm, then what will be the length of AC?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 15 cm
Given that

As we know the right angled triangle theorem
BD2 = AD * DC = 3 * DC
62 = 3 * DC
DC = 36/3 = 12 cm
Hence, AC = AD + DC = 3 + 12 = 15 cm